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Finding the Fourth Proportional to 2,065.48, 3,098.84 and 604.64

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Solution

The fourth proportional to 2,065.48, 3,098.84 and 604.64 is: 907.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.48 : 3,098.84 = 604.64 : x
  2. Step 2: Convert to fraction form
    2,065.48/3,098.84 = 604.64/x
  3. Step 3: Cross multiply
    2,065.48x = 3,098.84 × 604.64
  4. Step 4: Simplify right side
    2,065.48x = 1,873,682.62
  5. Step 5: Solve for x
    x = 1,873,682.62/2,065.48
  6. Step 6: Final answer
    x = 907.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.